Questions

Graph each system on graph paper, classify the system, and then write the solution.

1) y = –x + 2; y = 2x – 1

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2) x + y = 0; 3x + y = 6

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Use substitution to solve each system.

3) y = x + 3; 10x + 2y = 18

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4) x – 6y = –18; –3x + 2y = 6

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Use elimination to solve each system.

5) 2x + y = 41; 2x + 5y = 13

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6) –5x – 2y = 44; –3x + 3y = 39

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Graph each system of inequalities on graph paper, and then compare your answer to the given graph. If the graph is correct, write true; if it is not correct, explain why the solution given is not correct.

7) Does the graph match the following system of inequalities? If not, please explain: y > 4x – 2; y < = –3x – 1

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8) Does the graph match the system of inequalities? If not, explain.

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9) Does the graph match the system of inequalities? If not, explain.

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10) A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let “x” represent the number of pages written and “y” represent the number of pages typed. Write a system of inequalities to represent this situation.

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Review

11) What is the slope (m) and y-intercept (b) of x + y + 2 = 0?

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12) Write the equation of a line that passes through the given pair of points, (5, 4) and (–1, 0). Express the equation in slope intercept form. State the letter of the correct answer.

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13) Find the slope-intercept form of a line passing through the point (5, 9) and parallel to the line “9x + 8y = –3”. State the letter of the correct answer.

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14) If x = 36 and y = 40 and “x varies directly as y”, then find “x” when y = 80.

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15) Write a proportion that models the statement "16 is to 8 as x is to 4".

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16) Given the relation, {(4, 7), (6, 8), (6, 5), (4, 8)}, (a) state the domain, (b) state the range, and (c) state whether the relation is a function. Explain why or why not.

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17) Find the difference of the functions. State the letter of the correct answer.